A neutral-to-weak left hand grip with a slightly stronger right hand grip is a common grip for players who prefer a draw.
Koivun does a quick takeaway rehearsal before every one of his swings to keep the clubface pointing down towards the ground. A common tendency for draw players is to get the clubface inside and open, which can start their right-to-left shots too far right.
Players who prefer a draw often drift their head too far back over their trail foot. Koivun has talked in the past about the importance of feeling more centered.
Koivun moves his left hip begins severely towards the target here, which shallows the club behind him...
Koivun creates a lot of side bend—tilt of his upper body away from his target—on the downswing. Turning while you tilt is a key move in the golf swing. Turning without tilting isn't enough.
A key for Koivun is keeping his side-bending in check. Too much side-bend can turn his tight draw into a draw with too much right-to-left curve, which can be hard to control.
Fun fact: Koivun hovers his driver above the ground because it helps him feel more level with his angle of attack at impact. He wants to hit down with his irons, though, so no hovering.
It's more apparent on some swings than others, but there's a hint of Jordan Spieth and Bryson DeChambeau in his left arm. That's a compliment—keeping that left elbow high can prevent the clubface from flipping over. Another way to control his preferred draw.
Classic, steel-neck follow through here. When people think about picturesque follow throughs, they're probably thinking of something like this.